Question

What is the area of a sector bounded by a 180 arc?

Answer 1

Area of the sector = 127.17 square kilometers

Step-by-step explanation:

Diameter = 18km

Diamter = 2(radius)

18km = 2(radius)

radius = 18/2 = 9 km

Applying the formula for area of sector:

`Area\text{ }of\text{ }a\text{ }sector=\theta/360*\pi r^2`
`\begin{gathered} \theta\text{ = }180\degree \\ \text{let }\pi\text{ = 3.14} \\ \\ \text{Area of sector = }(180)/(360)*3.14*9^2 \end{gathered}`
`\begin{gathered} \text{Area of sector = 1/2 }*3.14*81 \\ \text{Area of sector = }127.17km^2 \end{gathered}`